双电机反向驱动振动系统自同步理论研究

doi:10.3901/JME.2022.11.156

机械工程学报 ›› 2022, Vol. 58 ›› Issue (11): 156-169.doi: 10.3901/JME.2022.11.156

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双电机反向驱动振动系统自同步理论研究

苏明¹, 黄旭¹, 孙易森¹, 谢志平¹, 李荣¹, 郑继明¹, 朱东敏²

1. 贵州师范大学机械与电气工程学院贵阳 550025;
2. 贵州成智重工科技有限公司贵阳 550081

收稿日期:2021-06-13 修回日期:2022-03-09 出版日期:2022-06-05 发布日期:2022-08-08
通讯作者: 苏明(通信作者),男,1962年出生,博士,教授,硕士研究生导师。主要研究方向为机电传动与控制,非线性动力学,振动同步与利用。E-mail:suming629@163.com
基金资助:
中央引导地方科技发展专项资金（黔科中引地[2016]4006号）和贵州省科技厅（黔科合人才团队[2014]4013号、黔科合重大专项字[2019]3003）资助项目

Study on Synchronization Theory of Dual-Exciters Reverse Drive Vibration System

SU Ming¹, HUANG Xu¹, SUN Yisen¹, XIE Zhiping¹, LI Rong¹, ZHENG Jiming¹, ZHU Dongmin²

1. School of Mechanical & Electrical Engineering, Guizhou Normal University, Guiyang 550025;
2. CINTEC Heavy Equipment Co., Ltd., Guiyang 550081

Received:2021-06-13 Revised:2022-03-09 Online:2022-06-05 Published:2022-08-08

摘要/Abstract

摘要： 针对传统双电机驱动振动系统自同步理论中同步性判据不能求出同步点相位与同步角速度、稳定性判据没有参数化等问题，在闻邦椿院士提出的“在同步时，两台电机平均角速度恒定”的近似条件下，采用周期系数小参数积分均值变量法对双电机反向驱动振动系统进行研究。将振动力矩平衡方程转化为以电机为单元的周期系数微分方程，得出了同步运转平衡点的相位公式。据此构建同步性方程，将同步性判据转化为同步性方程解的存在性问题，并对稳定性判据进行了参数化表达。应用同步性判据可以对双电机反向驱动振动系统自同步的同步角速度进行求取，并对稳定性进行预判断。通过Matlab/Simulink仿真和试验验证了理论结果的正确性。研究成果补充和完善了机械振动系统自同步理论。

关键词: 振动同步, 小参数积分均值变量法, 同步性判据, 稳定性判据, 周期系数微分方程

Abstract: The criteria in the self-synchronization theory of the traditional dual-motor drive vibration system have problems such as the synchronization point phase and the synchronization angular velocity are not obtained, and the stability criterion is not parameterized, etc. Under the approximate condition of "the average angular velocity of the two motors is constant during synchronization" proposed by WEN Bangchun, an integral mean method with small parameters and periodic coefficient (IMM-SPPC) is used to study the dual-motor reverse drive vibration system. The vibration torque balance equation is transformed into a periodic coefficient differential equation with the motor as a unit, and the phase formula of the balance point of synchronous operation is obtained. Based on this, the synchronization criterion is transformed into the existence problem of the solution of the synchronization equation, and the parameterized expression of the stability criterion is realized. By applying the derived synchronization criterion, the self-synchronization synchronous angular velocity of the dual-motor reverse drive vibration system can not only be obtained, but also the stability can be predicted. The correctness of the theoretical results is verified through Matlab/Simulink simulation and the laboratory tests. The self-synchronization theory of mechanical vibration system is suplemented and perfected by these research results.

Key words: vibration synchronization, IMM-SPPC, synchronization criterion, stability criterion, periodic coefficient differential equations

中图分类号:

TH113

苏明, 黄旭, 孙易森, 谢志平, 李荣, 郑继明, 朱东敏. 双电机反向驱动振动系统自同步理论研究[J]. 机械工程学报, 2022, 58(11): 156-169.

SU Ming, HUANG Xu, SUN Yisen, XIE Zhiping, LI Rong, ZHENG Jiming, ZHU Dongmin. Study on Synchronization Theory of Dual-Exciters Reverse Drive Vibration System[J]. Journal of Mechanical Engineering, 2022, 58(11): 156-169.

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双电机反向驱动振动系统自同步理论研究

Study on Synchronization Theory of Dual-Exciters Reverse Drive Vibration System

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